file in the blanks Theorem. The diagonals of a rectangle bisect each other and have the samelength.Proof. Let DABCD be a rectangle, i.e., a quadrilateral that has insert defin-ing characteristic. Draw diagonals AC and BD.insert figure that illustrates the setupExplain why the diagonals bisect each other. (Do not work too hard.Make use of a combination of theorems we have already proven.)Next we will show the diagonals have the same length. Note that AC isa side of triangle blah and BD is a side of triangle blah. Thus it suffices toshow triangles blah and blah are congruent because then their correspondingsides will be congruent.insert figure highlighting the two triangles of interestWrite an argument for why the triangles you identified in the previousstep are congruent.insert a diagram that uses color or line style to mark the segments or anglesyou are using to justify congruence of the trianglesTherefore the corresponding sides AC and BD are congruent.Thus the diagonals of a rectangle bisect each other and have the samelength.

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Answered: Theorem. The diagonals of a rectangle…

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Theorem. The diagonals of a rectangle bisect each other and have the same length.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 34E: In the drawing, ABDCEF. Suppose that transversals l and m are also parallel. D and C are the...

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Question

file in the blanks

Theorem. The diagonals of a rectangle bisect each other and have the same
length.
Proof. Let DABCD be a rectangle, i.e., a quadrilateral that has insert defin-
ing characteristic. Draw diagonals AC and BD.
insert figure that illustrates the setup
Explain why the diagonals bisect each other. (Do not work too hard.
Make use of a combination of theorems we have already proven.)
Next we will show the diagonals have the same length. Note that AC is
a side of triangle blah and BD is a side of triangle blah. Thus it suffices to
show triangles blah and blah are congruent because then their corresponding
sides will be congruent.
insert figure highlighting the two triangles of interest
Write an argument for why the triangles you identified in the previous
step are congruent.
insert a diagram that uses color or line style to mark the segments or angles
you are using to justify congruence of the triangles
Therefore the corresponding sides AC and BD are congruent.
Thus the diagonals of a rectangle bisect each other and have the same
length.

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